Find the equation of the line that has a slope of 1 and passes through the point (−10,−6).

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

Hi there!

We want to find the equation of the line that has a slope (m) of 1 and that passes through the point (-10, -6)

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

Since we are given both a point and a slope in this situation, it makes sense to write the equation in point-slope form.

Let's label the values of everything we were given to avoid confusion and mistakes:

m=1

[tex]x_1=-10\\y_1=-6[/tex]

Now substitute these values into the equation (note: we have NEGATIVE numbers, while the formula gives SUBTRACTION, which is why we're subtracting a negative)

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y--6=1(x--10)[/tex]

Simplify:

y+6=1(x+10)

The equation can be left as this, or it can be converted into slope-intercept form if you wish.

In that case, we would distribute 1 to each number on the right side.

y+6=x+10

Then, we'll isolate y on one side. Subtract 6 from both sides.

y=x+4

You can also convert it into standard form if you would prefer it that way. To do that, start with slope-intercept form, which we earlier found as y=x+4

In standard form, x and y are on the same side. So subtract x from both sides to move it

-x+y=4

Remember we don't want a (the coefficient in front of x) to be negative. In order to flip the sign, multiply both sides by -1

x-y=-4

Therefore, the answer can be written as y+6=1(x+10), y=x+4, or x-y=4.

Hope this helps!


Related Questions


There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.

Answers

Answer:

~7.61 births/minute

Step-by-step explanation:

YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.

Answers

11th terms is 56 …….

y=-3x-8 how is this graphed

Answers

You graph this equation by first graphing the y-intercept, which is -8, according to your equation.

You will plot down, (0,-8) on your graph as your first point. Then since the slope is -3, you will go from that point (0, -8) 3 down and 1 right. So your next point would be (1, -11) and go 3 down and 1 right again for your third point, and keep going if you want more points.

After graphing as many points as you want graph a line though it! It has to be a straight line.

Hope this helps!! :)

Divide.
123 : 5
remainder

Answers

123 / 5

100 / 5 = 20

20 / 5 = 4

3 = remainder

123/5
100/5=20
20/5=4
3=remainder

Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run

Answers

Answer:

4 7/12

Step-by-step explanation:

Here is an inequality -10+x÷4+5>7x-5÷3

Answers

Answer:

here is the answer x>1/2

instant oatmeal regularly sells for $3.67 a box. oatmeal is now 2 for $5.00. how much can Norris Russell save by purchasing 2 boxes?

Answers

Answer: $2.34

Step-by-step explanation: first add $3.67+$3.67 that equals $7.34

then subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

Answer:

$3.67+$3.67=$7.34

Subtract 7.34 by 5.00 to get 2.34

Norris Russell saved $2.34

What is the value of 3x + 4y² when x = 5 and y = 3?

Answers

The value of 3x + 4y² when x = 5 and y = 3 is 51.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

- 2x + 4y = 17
3x - 10y = -3

Answers

1)-2x+4y=17
-2x+4y-17=0
2x-4y+17=0
———————
2)3x-10y=-3
3x-10y+3=-3+3
3x-10y+3=0

Answer:

1.-2x+4y=17

if you want me to solve for x : x=-17/2 +2y

If you want me to solve for y: y=17/4+x/2

2. If you want me to solve for x: x=-1+10y/3

If you want me to solve for y: y=3/10+3x/10

3. If you want me to do it all together it would be:

x=-79/4, y=-45/8

Step-by-step explanation:

Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.

Answers

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].

Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].

Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

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How to find the equation of a line.

Answers

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.​

Answers

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

A class has 30 students. 10 students take the bus. What percentage of students take the bus?

Answers

Answer:

33.3%

Step-by-step explanation:

10/ 30= 0.3(3 would be a reoccurring decimal)

0.3*100=33.3

10% of students take the bus

In parallelogram DEFG D=(5x-8) and E=(3x+28). How many degrees is F

Answers

In parallelogram DEFG, angle F measures 92°

A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.

In parallelogram DEFG:

∠D + ∠E = 180° (Consecutive angles are supplementary)

(5x - 8) + (3x + 28) = 180

8x + 20 = 180

8x = 160

x = 20°

∠D = 5x - 8 = 5(20) - 8 = 92°

∠D = ∠F = 92° (Opposite angles are congruent)

In parallelogram DEFG, angle F measures 92°

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The angle of F in degrees is 92°

Adjacent angles of a parallelogram are supplementary.

Therefore,

Therefore,

5x - 8 + 3x + 28 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160 / 8

x = 20

Angle F is an opposite angle to angle D. Therefore,

∠D = ∠F

5x - 8 = 5(20) - 8 = 100 - 8 = 92°

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Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Here are the answers

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

y is inversely proportional to x and x = 10 when y = 6 what is the value of the consant? k =

Answers

Answer:

60

Step-by-step explanation:

y =  k/x ( as y is inversely proportional to x)

yx = k

--> k = yx

k = (6)(10)

k = 60

Enjoy it. I hope it will help you.

What is the equation for the line in slope-intercept form?

Answers

y=-2x-4 is the answer:)

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

which of the following is not a true dilation?

A. The image and preimage have congruent angles

B. The image and preimage have proportional sides

C. The image and preimage are congruent

D. The image and preimage are similar

Answers

Answer:

umm i think it is B.

Step-by-step explanation:

If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.

Due today!!

Answers

Answer:

1, 6, and -5

make it 0

[final due to glitching] find the value of x for this parallelogram

Answers

Answer:

x = 0

Step-by-step explanation:

both angles equal each other

I hope this helps

Which of the following is incorrect?

I need help please! It’s due tonight.

Answers

Answer:

D

Step-by-step explanation:

Can i get brainiest Sorry if im wrong <3

What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?

−4
−3
−2

Answers

Answer:

-3

Step-by-step explanation:

Solution of the equation is y = -3.

What is the solution of the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.

Given expression (3/4)y+1/4= 1+y.

simplify each term,

(3/4)y + 1/4 = 1+y

Move all terms not containing y to the right side of the equation,

(3/4)y - y = 1-1/4

(-1/4)y = 3/4

Since  both side of the expression has the same denominator, the numerators must be equal.

y = -3

Solution of the equation is y = -3.

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Find the circumference of the
circle. Use 3.14 for it. Do not
round your answer.
C = [ ? ] feet
18 feet
Enter the number that
belongs in the green box.
Hint: C = 2tr

Answers

The answer is abc deft hi

help plssah
answer the question...

Answers

Answer:

2

Step-by-step explanation:

can someone help me on this one plss i REALLY need this for school

Answers

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Think about it, 0.9 increased by a number is 5.2

In other words, increasing 0.9 by a number will equal 5.2

So, increasing = adding, right?

Adding 0.9 to a number will equal 5.2

0.9 + n (a number) = 5.2

C increased equals +

i need help with evaluating functions g(n)=3n - 4 ; find g(9)

Answers

n = 9
So
3n - 4 = (3*9) - 4 = 23

Nadia is a stockbroker. She earns 11​% commission each week. Last​ week, she sold ​$5300 worth of stocks. How much did she make last week in​ commission? If averages that same amount each​ week, how much did she make in commission in​ 2011?
pls answer fast, 25 points to earn

Answers

Answer:

a. $ 583

b. $ 30,316

Step-by-step explanation:

a). 0.11 * 5,300= $ 583 per week( commission )

b). In 2011, 52 weeks.

52* 583 =$ 30,316

Identify the slope and y-intercept for 3x + 4y = 9.

Answers

The answer is:

Slope: -3/4

Y-intercept: (0, 9/4)

Geometry hw help please.

Answers

Answer:

6

Step-by-step explanation:

You can solve this using Pythagorean Theorem;

a² + b² = c²

c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.

a and b values can be the other 2 legs, doesn’t matter which one is which

we are given;

a = 8

c = 10

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64

b² = 36

√b² = √36

b = 6

Therefore the answer = 6

Hope this helps!

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